Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
noncommutative geometry
|
| gptkbp:alsoKnownAs |
gptkb:hyperbolic_geometry
|
| gptkbp:angleSumOfTriangle |
less than 180 degrees
|
| gptkbp:contrastsWith |
gptkb:Euclidean_geometry
|
| gptkbp:curvature |
negative
|
| gptkbp:developedBy |
gptkb:János_Bolyai
gptkb:Nikolai_Lobachevsky |
| gptkbp:dimensions |
2
3 |
| gptkbp:firstPublished |
1829
|
| gptkbp:hasAxiom |
through a point not on a given line, there are infinitely many lines parallel to the given line
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lobachevskian geometry
|
| gptkbp:namedAfter |
gptkb:Nikolai_Lobachevsky
|
| gptkbp:parallelPostulate |
rejected
|
| gptkbp:relatedTo |
gptkb:Klein_model
gptkb:Beltrami–Klein_model gptkb:Poincaré_disk_model |
| gptkbp:spaceType |
hyperbolic space
|
| gptkbp:studiedIn |
gptkb:mathematics
|
| gptkbp:usedIn |
gptkb:theory_of_relativity
hyperbolic tessellations |
| gptkbp:bfsParent |
gptkb:Nikolay_Lobachevsky
gptkb:Non-Euclidean_Geometry gptkb:Nikolai_Ivanovich_Lobachevsky |
| gptkbp:bfsLayer |
7
|